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Finding the Fourth Proportional to 315,360.96, 473,202.72 and 149,104.32

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Solution

The fourth proportional to 315,360.96, 473,202.72 and 149,104.32 is: 223,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,360.96 : 473,202.72 = 149,104.32 : x
  2. Step 2: Convert to fraction form
    315,360.96/473,202.72 = 149,104.32/x
  3. Step 3: Cross multiply
    315,360.96x = 473,202.72 × 149,104.32
  4. Step 4: Simplify right side
    315,360.96x = 70,556,569,787.75
  5. Step 5: Solve for x
    x = 70,556,569,787.75/315,360.96
  6. Step 6: Final answer
    x = 223,732.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.